Contains math functions. This is a static type with no instance services. You should never create instances of it by any means. More...

#include <math.h>

Public Member Functions
template<>
float	Min_ (float val1, float val2)
	Returns the smallest single-precision floating point value out of the two specified. More...

template<>
double	Min_ (double val1, double val2)
	Returns the smallest double-precision floating point value out of the two specified. More...

template<>
float	Max_ (float val1, float val2)
	Returns the largest single-precision floating point value out of the two specified. More...

template<>
double	Max_ (double val1, double val2)
	Returns the largest double-precision floating point value out of the two specified. More...

Static Public Member Functions
static double	Acos (double d)
	Calculates the arccosine of the specified value. More...

static double	Asin (double d)
	Calculates the arcsin of the specified value. More...

static double	Atan (double d)
	Calculates the arctan of the specified value. More...

static double	Atan2 (double y, double x)
	Calculates the arctan of the ration of the specified values. More...

static Decimal	Ceiling (const Decimal &d)
	Returns the smallest integral value that is greater than or equal to the specified value. More...

static double	Ceiling (double a)
	Returns the smallest integral value that is greater than or equal to the specified value. More...

static double	Cos (double d)
	Calculates the cosine of the specified value. More...

static double	Cosh (double value)
	Calculates the hyperbolic cosine of the specified value. More...

static Decimal	Floor (const Decimal &d)
	Returns the largest integral value that is less than or equal to the specified value. More...

static double	Floor (double d)
	Returns the largest integral value that is less than or equal to the specified value. More...

static double	Sin (double a)
	Calculates the sine of the specified value. More...

static double	Tan (double a)
	Calculates the tangen of the specified value. More...

static double	Sinh (double value)
	Calculates the hyperbolic sine of the specified value. More...

static double	Tanh (double value)
	Calculates the hyperbolic tangen of the specified value. More...

static double	Round (double a)
	Rounds the specified value to the nearest integral value. More...

static double	Round (double value, int digits)
	Rounds the specified value to the nearest value with the specified number of fractional digits. More...

static double	Round (double value, MidpointRounding mode)
	Rounds the specified value to the nearest integral number. A parameter specifies the function's behavior if the specified value is equally close to two nearest numbers. More...

static double	Round (double value, int digits, MidpointRounding mode)
	Rounds the specified value to the nearest value with the specified number of fractional digits. A parameter specifies the function's behavior if the specified value is equally close to two nearest numbers. More...

static Decimal	Round (const Decimal &d)
	Rounds the specified value to the nearest integral value. More...

static Decimal	Round (const Decimal &value, int digits)
	Rounds the specified value to the nearest value with the specified number of fractional digits. More...

static Decimal	Round (const Decimal &d, MidpointRounding mode)
	Rounds the specified value to the nearest integral number. A parameter specifies the function's behavior if the specified value is equally close to two nearest numbers. More...

static Decimal	Round (const Decimal &d, int digits, MidpointRounding mode)
	Rounds the specified value to the nearest value with the specified number of fractional digits. A parameter specifies the function's behavior if the specified value is equally close to two nearest numbers. More...

static Decimal	Truncate (const Decimal &d)
	Returns the Decimal object representing a value that has integral part equal to that of the value represented by the specified Decimal object of the with all fractional digits discarded. More...

static double	Truncate (double d)
	Returns a double-precision floating point value that has integral part equal to that of the specified value with all fractional digits discarded. More...

static double	Sqrt (double d)
	Returns the square root of the specified value. More...

static double	Log (double d)
	Returns the natural logarithm of the specified value. More...

static double	Log10 (double d)
	Returns the base-10 logarithm of the specified value. More...

static double	Exp (double d)
	Returns e constant raised to the specified power. More...

static double	Pow (double x, double y)
	Returns the specified value raised to the specified power. More...

static double	IEEERemainder (double x, double y)
	Returns the remainder resulting from the division of a specified number by another specified number. More...

template<class T >
static T	Abs (T value)
	Returns the absolute value of the specified value. More...

static Decimal	Abs (const Decimal &d)
	Returns the absolute value of a value represented by the specified Decimal object. More...

static double	Log (double a, double newBase)
	Returns the logarithm of the specified value in the specified base. More...

template<typename T >
static std::enable_if< std::is_integral< T >::value &&!std::is_unsigned< T >::value, int >::type	Sign (T value)
	Determines the sign of the specified signed integral value. More...

template<typename T >
static std::enable_if< std::is_floating_point< T >::value, int >::type	Sign (T value)
	Determines the sign of the specified floating-point value. More...

static int	Sign (const Decimal &value)
	Determines the sign of the specified decimal value. More...

static int64_t	BigMul (int a, int b)
	Returns the full product of two 32-bit integers. More...

static int	DivRem (int a, int b, int &result)
	Calculates the quotient of two 32-bit integers and the remainder. More...

static int64_t	DivRem (int64_t a, int64_t b, int64_t &result)
	Calculates the quotient of two 64-bit integers and the remainder. More...

template<class T >
static T	Modulus (T x, T y)
	Calculates the remainder resulting from the division one specified value by another specified value. More...

template<class T0 , class T1 , class = typename std::enable_if<!std::is_same<T0, T1>::value, void>::type>
static auto	Min (T0 val1, T1 val2) -> decltype(val1+val2)
	Returns the smallest value out of two numeric ones specified. More...

template<class T0 , class T1 , class = typename std::enable_if<std::is_same<T0, T1>::value, void>::type>
static T0	Min (T0 val1, T1 val2)
	Returns the smallest value out of two numeric ones specified. More...

template<class T0 , class T1 , class = typename std::enable_if<!std::is_same<T0, T1>::value, void>::type>
static auto	Max (T0 val1, T1 val2) -> decltype(val1+val2)
	Returns the greatest value out of two numeric ones specified. More...

template<class T0 , class T1 , class = typename std::enable_if<std::is_same<T0, T1>::value, void>::type>
static T0	Max (T0 val1, T1 val2)
	Returns the greatest value out of two numeric ones specified. More...

Static Public Attributes
static const double	PI
	The number Pi constant. More...

static const double	E
	Natural logarithm's base. More...

static const double	PositiveInfinity
	Represents the positive infinity. More...

static const double	NegativeInfinity
	Represents the negative infinity. More...

static const double	NaN
	Represents a not-a-number value. More...

Detailed Description

Contains math functions. This is a static type with no instance services. You should never create instances of it by any means.

#include "system/math.h"
#include <iostream>
 
int main()
{
  using namespace System;
 
  // Print the absolute values.
  for (int i = -1; i < 2; ++i)
  {
    std::cout << Math::Abs(i) << " ";
  }
  std::cout << std::endl;
 
  // Print the sine of PI/2 and the cosine of PI.
  std::cout << "sin(PI/2)=" << Math::Sin(Math::PI/2) << "; cos(PI)=" << Math::Cos(Math::PI) << std::endl;
 
  return 0;
}
/*
This code example produces the following output:
1 0 1
sin(PI/2)=1; cos(PI)=-1
*/

Member Function Documentation

◆ Abs() [1/2]

static Decimal System::Math::Abs ( const Decimal & d )

inlinestatic

Returns the absolute value of a value represented by the specified Decimal object.

Parameters

d	A Decimal object

Returns: The Decimal object representing the absolute value of the value represented by value

◆ Abs() [2/2]

template<class T >

static T System::Math::Abs ( T value )

inlinestatic

Returns the absolute value of the specified value.

Parameters

value A value of arithmetic type

Returns: The absolute value of value

Template Parameters

T	The type of the value accepted by the method as an argument

◆ Acos()

static double System::Math::Acos ( double d )

static

Calculates the arccosine of the specified value.

Parameters

d	The value to calculate arccosine of

Returns: Arccosine of d

◆ Asin()

static double System::Math::Asin ( double d )

static

Calculates the arcsin of the specified value.

Parameters

d	The value to calculate arcsin of

Returns: Arcsin of d

◆ Atan()

static double System::Math::Atan ( double d )

static

Calculates the arctan of the specified value.

Parameters

d	The value to calculate arctan of

Returns: Arctan of d

◆ Atan2()

static double System::Math::Atan2	(	double	y,
		double	x
	)

static

Calculates the arctan of the ration of the specified values.

Parameters

y	The point's y coordinate
x	The point's x coordinate

Returns: Arctan of y/x

◆ BigMul()

static int64_t System::Math::BigMul	(	int	a,
		int	b
	)

static

Returns the full product of two 32-bit integers.

Parameters

a	The first multiplier
b	The second multiplier

Returns: The product of a and b

◆ Ceiling() [1/2]

static Decimal System::Math::Ceiling ( const Decimal & d )

static

Returns the smallest integral value that is greater than or equal to the specified value.

Parameters

d	A decimal number

Returns: The smallest integral value that is greater than or equal to d

◆ Ceiling() [2/2]

static double System::Math::Ceiling ( double a )

static

Returns the smallest integral value that is greater than or equal to the specified value.

Parameters

a	A double-precision floating point number

Returns: The smallest integral value that is greater than or equal to d

◆ Cos()

static double System::Math::Cos ( double d )

static

Calculates the cosine of the specified value.

Parameters

d	The value to calculate the cosine of

Returns: The cosine of d

◆ Cosh()

static double System::Math::Cosh ( double value )

static

Calculates the hyperbolic cosine of the specified value.

Parameters

value The value to calculate the hyperbolic cosine of

Returns: The hyperbolic cosine of value

◆ DivRem() [1/2]

static int System::Math::DivRem	(	int	a,
		int	b,
		int &	result
	)

static

Calculates the quotient of two 32-bit integers and the remainder.

Parameters

a	The dividend
b	The divisor
result	The output parameter that contains the remainder resulting from division of `a` by `b`

Returns: The quoting of a and b

◆ DivRem() [2/2]

static int64_t System::Math::DivRem	(	int64_t	a,
		int64_t	b,
		int64_t &	result
	)

static

Calculates the quotient of two 64-bit integers and the remainder.

Parameters

a	The dividend
b	The divisor
result	The output parameter that contains the remainder resulting from division of `a` by `b`

Returns: The quoting of a and b

◆ Exp()

static double System::Math::Exp ( double d )

static

Returns e constant raised to the specified power.

Parameters

d	The power to raise e constant to

Returns: e constant raised to the power of d

◆ Floor() [1/2]

static Decimal System::Math::Floor ( const Decimal & d )

static

Returns the largest integral value that is less than or equal to the specified value.

Parameters

d	A decimal number

Returns: The largest integral value that is less than or equal to d

◆ Floor() [2/2]

static double System::Math::Floor ( double d )

static

Returns the largest integral value that is less than or equal to the specified value.

Parameters

d	A double-precision floating point number

Returns: The largest integral value that is less than or equal to d

◆ IEEERemainder()

static double System::Math::IEEERemainder	(	double	x,
		double	y
	)

static

Returns the remainder resulting from the division of a specified number by another specified number.

Parameters

x	Dividend
y	Divisor

Returns: The remainder resulting from the division of a specified number by another specified number.

◆ Log() [1/2]

static double System::Math::Log	(	double	a,
		double	newBase
	)

static

Returns the logarithm of the specified value in the specified base.

Parameters

a	A double-precision floating point value
newBase	The base of the logarithm

Returns: The logarithm of a in the newBase base

◆ Log() [2/2]

static double System::Math::Log ( double d )

static

Returns the natural logarithm of the specified value.

Parameters

d	A double-precision floating point value

Returns: The natural logarithm of d

◆ Log10()

static double System::Math::Log10 ( double d )

static

Returns the base-10 logarithm of the specified value.

Parameters

d	A double-precision floating point value

Returns: The base-10 logarithm of d

◆ Max() [1/2]

template<class T0 , class T1 , class = typename std::enable_if<std::is_same<T0, T1>::value, void>::type>

static T0 System::Math::Max	(	T0	val1,
		T1	val2
	)

inlinestatic

Returns the greatest value out of two numeric ones specified.

Template Parameters

T0	Type of first value.
T1	Type of second value.

Parameters

val1	First value.
val2	Second value.

Returns: Greatest value out of val1 and val2.

◆ Max() [2/2]

template<class T0 , class T1 , class = typename std::enable_if<!std::is_same<T0, T1>::value, void>::type>

static auto System::Math::Max	(	T0	val1,
		T1	val2
	)		-> decltype(val1 + val2)

inlinestatic

Returns the greatest value out of two numeric ones specified.

Template Parameters

T0	Type of first value.
T1	Type of second value.

Parameters

val1	First value.
val2	Second value.

Returns: Greatest value out of val1 and val2.

◆ Max_() [1/2]

template<>

double System::Math::Max_	(	double	val1,
		double	val2
	)

inline

Returns the largest double-precision floating point value out of the two specified.

Parameters

val1	The first comparand
val2	The second comparand

Returns: The largest value out of val1 and val2; or NaN if one of the operands is NaN

◆ Max_() [2/2]

template<>

float System::Math::Max_	(	float	val1,
		float	val2
	)

inline

Returns the largest single-precision floating point value out of the two specified.

Parameters

val1	The first comparand
val2	The second comparand

Returns: The largest value out of val1 and val2; or NaN if one of the operands is NaN

◆ Min() [1/2]

template<class T0 , class T1 , class = typename std::enable_if<std::is_same<T0, T1>::value, void>::type>

static T0 System::Math::Min	(	T0	val1,
		T1	val2
	)

inlinestatic

Returns the smallest value out of two numeric ones specified.

Template Parameters

T0	Type of first value.
T1	Type of second value.

Parameters

val1	First value.
val2	Second value.

Returns: Smallest value out of val1 and val2.

◆ Min() [2/2]

template<class T0 , class T1 , class = typename std::enable_if<!std::is_same<T0, T1>::value, void>::type>

static auto System::Math::Min	(	T0	val1,
		T1	val2
	)		-> decltype(val1 + val2)

inlinestatic

Returns the smallest value out of two numeric ones specified.

Template Parameters

T0	Type of first value.
T1	Type of second value.

Parameters

val1	First value.
val2	Second value.

Returns: Smallest value out of val1 and val2.

◆ Min_() [1/2]

template<>

double System::Math::Min_	(	double	val1,
		double	val2
	)

inline

Returns the smallest double-precision floating point value out of the two specified.

Parameters

val1	The first comparand
val2	The second comparand

Returns: The smallest value out of val1 and val2; or NaN if one of the operands is NaN

◆ Min_() [2/2]

template<>

float System::Math::Min_	(	float	val1,
		float	val2
	)

inline

Returns the smallest single-precision floating point value out of the two specified.

Parameters

val1	The first comparand
val2	The second comparand

Returns: The smallest value out of val1 and val2; or NaN if one of the operands is NaN

◆ Modulus()

template<class T >

static T System::Math::Modulus	(	T	x,
		T	y
	)

inlinestatic

Calculates the remainder resulting from the division one specified value by another specified value.

Parameters

x	The dividend
y	The divisor

Returns: The reminder resulting from the division of x by y

Template Parameters

T	The type of the method's arguments

◆ Pow()

static double System::Math::Pow	(	double	x,
		double	y
	)

static

Returns the specified value raised to the specified power.

Parameters

x	The value to raise to the specified power
y	The power to raise the specified value to

Returns: x raised to the power of y

◆ Round() [1/8]

static Decimal System::Math::Round ( const Decimal & d )

static

Rounds the specified value to the nearest integral value.

Parameters

d	The value to round

Returns: d rounded to the nearest integral value

◆ Round() [2/8]

static Decimal System::Math::Round	(	const Decimal &	d,
		int	digits,
		MidpointRounding	mode
	)

static

Rounds the specified value to the nearest value with the specified number of fractional digits. A parameter specifies the function's behavior if the specified value is equally close to two nearest numbers.

Parameters

d	The value to round
digits	The number of fractional digits in the rounded value
mode	Specifies how to perform the rounding if `value` is equally close to two nearest numbers.

Returns: The number with the specified number of digits nearest to value

◆ Round() [3/8]

static Decimal System::Math::Round	(	const Decimal &	d,
		MidpointRounding	mode
	)

static

Rounds the specified value to the nearest integral number. A parameter specifies the function's behavior if the specified value is equally close to two nearest numbers.

Parameters

d	The value to round
mode	Specifies how to perform the rounding if `value` is equally close to two nearest numbers.

Returns: d rounded to the nearest integral value

◆ Round() [4/8]

static Decimal System::Math::Round	(	const Decimal &	value,
		int	digits
	)

static

Rounds the specified value to the nearest value with the specified number of fractional digits.

Parameters

value	The value to round
digits	The number of fractional digits in the rounded value

Returns: The number with the specified number of digits nearest to value

◆ Round() [5/8]

static double System::Math::Round ( double a )

static

Rounds the specified value to the nearest integral value.

Parameters

a	The value to round

Returns: a rounded to the nearest integral value

◆ Round() [6/8]

static double System::Math::Round	(	double	value,
		int	digits
	)

static

Rounds the specified value to the nearest value with the specified number of fractional digits.

Parameters

value	The value to round
digits	The number of fractional digits in the rounded value

Returns: The number with the specified number of digits nearest to value

◆ Round() [7/8]

static double System::Math::Round	(	double	value,
		int	digits,
		MidpointRounding	mode
	)

static

Rounds the specified value to the nearest value with the specified number of fractional digits. A parameter specifies the function's behavior if the specified value is equally close to two nearest numbers.

Parameters

value	The value to round
digits	The number of fractional digits in the rounded value
mode	Specifies how to perform the rounding if `value` is equally close to two nearest numbers.

Returns: The number with the specified number of digits nearest to value

◆ Round() [8/8]

static double System::Math::Round	(	double	value,
		MidpointRounding	mode
	)

static

Rounds the specified value to the nearest integral number. A parameter specifies the function's behavior if the specified value is equally close to two nearest numbers.

Parameters

value	The value to round
mode	Specifies how to perform the rounding if `value` is equally close to two nearest numbers.

Returns: value rounded to the nearest integral value

◆ Sign() [1/3]

static int System::Math::Sign ( const Decimal & value )

inlinestatic

Determines the sign of the specified decimal value.

Parameters

value The value to determine the sign of

Returns: -1 if value is less than 0; 0 if value is equal to 0; 1 if value is greater than 0

◆ Sign() [2/3]

template<typename T >

static std::enable_if< std::is_integral< T >::value &&!std::is_unsigned< T >::value, int >::type System::Math::Sign ( T value )

inlinestatic

Determines the sign of the specified signed integral value.

Parameters

value The value to determine the sign of

Returns: -1 if value is less than 0; 0 if value is equal to 0; 1 if value is greater than 0

Template Parameters

T	The integral signed type

◆ Sign() [3/3]

template<typename T >

static std::enable_if< std::is_floating_point< T >::value, int >::type System::Math::Sign ( T value )

inlinestatic

Determines the sign of the specified floating-point value.

Parameters

value The value to determine the sign of

Returns: -1 if value is less than 0; 0 if value is equal to 0; 1 if value is greater than 0

Template Parameters

T	The floating point type of the argument

◆ Sin()

static double System::Math::Sin ( double a )

static

Calculates the sine of the specified value.

Parameters

a	The value to calculate the sine of

Returns: The sine of a

◆ Sinh()

static double System::Math::Sinh ( double value )

static

Calculates the hyperbolic sine of the specified value.

Parameters

value The value to calculate the hyperbolic sine of

Returns: The hyperbolic sine of value

◆ Sqrt()

static double System::Math::Sqrt ( double d )

static

Returns the square root of the specified value.

Parameters

d	A double-precision floating point value

Returns: The square root of d

◆ Tan()

static double System::Math::Tan ( double a )

static

Calculates the tangen of the specified value.

Parameters

a	The value to calculate the tangen of

Returns: The tangen of a

◆ Tanh()

static double System::Math::Tanh ( double value )

static

Calculates the hyperbolic tangen of the specified value.

Parameters

value The value to calculate the hyperbolic tangen of

Returns: The hyperbolic tangen of value

◆ Truncate() [1/2]

static Decimal System::Math::Truncate ( const Decimal & d )

static

Returns the Decimal object representing a value that has integral part equal to that of the value represented by the specified Decimal object of the with all fractional digits discarded.

Parameters

d	A decimal number

Returns: A Decimal object representing a decimal value whose integral part is equal to that of the specified value and fractional digits are all 0.

◆ Truncate() [2/2]

static double System::Math::Truncate ( double d )

static

Returns a double-precision floating point value that has integral part equal to that of the specified value with all fractional digits discarded.

Parameters

d	A decimal number

Returns: A double-precision floating point value whose integral part is equal to that of the specified value and fractional digits are all 0.

Member Data Documentation

◆ E

const double System::Math::E

static

Natural logarithm's base.

◆ NaN

const double System::Math::NaN

static

Represents a not-a-number value.

◆ NegativeInfinity

const double System::Math::NegativeInfinity

static

Represents the negative infinity.

◆ PI

const double System::Math::PI

static

The number Pi constant.

◆ PositiveInfinity

const double System::Math::PositiveInfinity

static

Represents the positive infinity.

Public Member Functions

Static Public Member Functions

Static Public Attributes

Detailed Description

Member Function Documentation

◆ Abs() [1/2]

◆ Abs() [2/2]

◆ Acos()

◆ Asin()

◆ Atan()

◆ Atan2()

◆ BigMul()

◆ Ceiling() [1/2]

◆ Ceiling() [2/2]

◆ Cos()

◆ Cosh()

◆ DivRem() [1/2]

◆ DivRem() [2/2]

◆ Exp()

◆ Floor() [1/2]

◆ Floor() [2/2]

◆ IEEERemainder()

◆ Log() [1/2]

◆ Log() [2/2]

◆ Log10()

◆ Max() [1/2]

◆ Max() [2/2]

◆ Max_() [1/2]

◆ Max_() [2/2]

◆ Min() [1/2]

◆ Min() [2/2]

◆ Min_() [1/2]

◆ Min_() [2/2]

◆ Modulus()

◆ Pow()

◆ Round() [1/8]

◆ Round() [2/8]

◆ Round() [3/8]

◆ Round() [4/8]

◆ Round() [5/8]

◆ Round() [6/8]

◆ Round() [7/8]

◆ Round() [8/8]

◆ Sign() [1/3]

◆ Sign() [2/3]

◆ Sign() [3/3]

◆ Sin()

◆ Sinh()

◆ Sqrt()

◆ Tan()

◆ Tanh()

◆ Truncate() [1/2]

◆ Truncate() [2/2]

Member Data Documentation

◆ E

◆ NaN

◆ NegativeInfinity

◆ PI

◆ PositiveInfinity